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Finding the Fourth Proportional to 1,405.10, 1,938.96 and 775.63

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Solution

The fourth proportional to 1,405.10, 1,938.96 and 775.63 is: 1,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.10 : 1,938.96 = 775.63 : x
  2. Step 2: Convert to fraction form
    1,405.10/1,938.96 = 775.63/x
  3. Step 3: Cross multiply
    1,405.10x = 1,938.96 × 775.63
  4. Step 4: Simplify right side
    1,405.10x = 1,503,915.54
  5. Step 5: Solve for x
    x = 1,503,915.54/1,405.10
  6. Step 6: Final answer
    x = 1,070.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.